MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Semi-Infinite Optimization with Implicit Functions

Author(s)
Stuber, Matthew D.; Barton, Paul I
Thumbnail
DownloadAccepted version (363.4Kb)
Terms of use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Metadata
Show full item record
Abstract
In this work, equality-constrained bilevel optimization problems, arising from engineering design, economics, and operations research problems, are reformulated as an equivalent semi-infinite program (SIP) with implicit functions embedded, which are defined by the original equality constraints that model the system. Using recently developed theoretical tools for bounding implicit functions, a recently developed algorithm for global optimization of implicit functions, and a recently developed algorithm for solving standard SIPs with explicit functions to global optimality, a method for solving SIPs with implicit functions embedded is presented. The method is guaranteed to converge to ε-optimality infinitely many iterations given the existence of a Slater point arbitrarily close to a minimizer. Besides the Slater point assumption, it is assumed only that the functions are continuous and factorable and that the model equations are once continuously differentiable.
Date issued
2014-12
URI
https://hdl.handle.net/1721.1/122783
Department
Massachusetts Institute of Technology. Process Systems Engineering Laboratory
Journal
Industrial & Engineering Chemistry Research
Publisher
American Chemical Society (ACS)
Citation
Stuber, Matthew D., and Paul I. Barton. "Semi-Infinite Optimization with Implicit Functions." Industrial & Engineering Chemistry Research 54, 1 (January 2015), 54: 307−317 © 2014 American Chemical Society
Version: Author's final manuscript
ISSN
0888-5885
1520-5045

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.